Least Common Multiple of 3699 and 3706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3699 and 3706 the smallest integer that is 13708494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3699 and 3706 is 13708494.

LCM(3699,3706) = 13708494

LCM of 3699 and 3706

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3699 and 3706

LCM of 3699 and 3706 is 13708494

Least common multiple can be found by multiplying the highest exponent prime factors of 3699 and 3706. First we will calculate the prime factors of 3699 and 3706.

Prime Factorization of 3699


3 3699
3 1233
3 411
137 137
1

Prime factors of 3699 are 3,137. Prime factorization of 3699 in exponential form is:

3699 = 33×1371

Prime Factorization of 3706


2 3706
17 1853
109 109
1

Prime factors of 3706 are 2, 17,109. Prime factorization of 3706 in exponential form is:

3706 = 21×171×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3699 and 3706.

LCM(3699,3706) = 21×33×171×1091×1371
LCM(3699,3706) = 13708494

Factors of 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1, 3, 9, 27, 137, 411, 1233, 3699

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1, 2, 17, 34, 109, 218, 1853, 3706

Least Common Multiple of 3699 and 3706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3699 and 3706, than apply into the LCM equation.

GCF(3699,3706) = 1
LCM(3699,3706) = ( 3699 × 3706) / 1
LCM(3699,3706) = 13708494 / 1
LCM(3699,3706) = 13708494

Properties of LCM 3699 and 3706

(i) The LCM of 3706 and 3699 is associative

LCM of 3699 and 3706 = LCM of 3706 and 3699

Related Least Common Multiples of 3699

Related Least Common Multiples of 3706

Frequently Asked Questions on LCM of 3699 and 3706

1. What is the LCM of 3699 and 3706?

Answer: LCM of 3699 and 3706 is 13708494.

2. What are the Factors of 3699?

Answer: Factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699. There are 8 integers that are factors of 3699. The greatest factor of 3699 is 3699.

3. What are the Factors of 3706?

Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.

4. How to Find the LCM of 3699 and 3706?

Answer:

Least Common Multiple of 3699 and 3706 = 13708494

Step 1: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 3706

3706 = 2 x 17 x 109

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13708494 = 2 x 3 x 3 x 3 x 17 x 109 x 137

Step 4: Therefore, the least common multiple of 3699 and 3706 is 13708494.